Project #14410 - Analytical Methods

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Here is a problem from my analytical methods class. It has to be done in Excel using Solver. Here is the problem:

Eddie Kelly is running for reelection as mayor. Jessica Martinez, Kelly's campaign manager is planning the marketing campaign. Martinez has selected four ways to advertise: TV ads, radio ads, billboards, and newspaper ads. The cost of these, the audience reached by each type of ad, and the maximum number of each add is shown in the following table:

Type of Ad Cost per Ad Audience Reached Maximum number

TV $800 30,000 10

Radio $400 22,000 10

Billboards $500 24,000 10

Newspapers $100 8,000 10

In addition, Martinez has decided that there should be at least six ads on TV or radio or some combination of those two. The amount spent on billboards and newspapers together must not exceed the amount spent on TV ads. The monthly budget for advertising has been set at $15,000. How many ads of each type should be placed to maximize the total number of people reached?